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1712141440 = 2752923181
BaseRepresentation
bin110011000001101…
…0011010010000000
311102022200210111221
41212003103102000
512001302011230
6441521044424
760266651002
oct14603232200
94368623457
101712141440
117a9506229
123b9486714
1321393aa59
14123566372
15a04a127a
hex660d3480

1712141440 has 96 divisors (see below), whose sum is σ = 4240428660. Its totient is φ = 661032960.

The previous prime is 1712141429. The next prime is 1712141443. The reversal of 1712141440 is 441412171.

It can be written as a sum of positive squares in 6 ways, for example, as 371409984 + 1340731456 = 19272^2 + 36616^2 .

It is not an unprimeable number, because it can be changed into a prime (1712141443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536650 + ... + 539830.

Almost surely, 21712141440 is an apocalyptic number.

1712141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1712141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120214330).

1712141440 is an abundant number, since it is smaller than the sum of its proper divisors (2528287220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1712141440 is an equidigital number, since it uses as much as digits as its factorization.

1712141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 1712141440 is about 41378.0308859665. The cubic root of 1712141440 is about 1196.3177494534.

The spelling of 1712141440 in words is "one billion, seven hundred twelve million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 841 928 1160 1682 1856 2320 3181 3364 3712 4205 4640 6362 6728 8410 9280 12724 13456 15905 16820 18560 25448 26912 31810 33640 50896 53824 63620 67280 92249 101792 107648 127240 134560 184498 203584 254480 269120 368996 407168 461245 508960 538240 737992 922490 1017920 1475984 1844980 2035840 2675221 2951968 3689960 5350442 5903936 7379920 10700884 11807872 13376105 14759840 21401768 26752210 29519680 42803536 53504420 59039360 85607072 107008840 171214144 214017680 342428288 428035360 856070720 1712141440